A boat takes 4 hours to go 40 km upstream. If the speed of the stream is 2 km/h,

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Question: A boat takes 4 hours to go 40 km upstream. If the speed of the stream is 2 km/h, what is the speed of the boat in still water?

Options:

Correct Answer: 10 km/h

Solution:

Speed upstream = Distance / Time = 40 / 4 = 10 km/h. Speed of boat = Speed upstream + Speed of stream = 10 + 2 = 12 km/h.

A boat takes 4 hours to go 40 km upstream. If the speed of the stream is 2 km/h, what is the speed of the boat in still water?

A boat takes 4 hours to go 40 km upstream. If the speed of the stream is 2 km/h, what is the speed of the boat in still water?

Step 1: Identify the distance the boat travels upstream, which is 40 km.
Step 2: Identify the time it takes to travel that distance, which is 4 hours.
Step 3: Calculate the speed of the boat while going upstream using the formula: Speed = Distance / Time. So, Speed upstream = 40 km / 4 hours = 10 km/h.
Step 4: Identify the speed of the stream, which is given as 2 km/h.
Step 5: To find the speed of the boat in still water, add the speed of the stream to the speed upstream. So, Speed of boat = Speed upstream + Speed of stream = 10 km/h + 2 km/h = 12 km/h.

Relative Speed – Understanding how the speed of a boat is affected by the current of the stream when moving upstream or downstream.
Distance, Speed, and Time Relationship – Applying the formula Distance = Speed × Time to calculate speed based on given distance and time.